The GameOfLife is a cellular automaton devised by the British mathematician John Horton Conway in 1970.
The game is a zero-player game meaning that its evolution is determined by its initial state, requiring no further input. One interacts with the GameOfLife by creating an initial configuration and observing how it evolves, or, for advanced players, by creating patterns with particular properties.
The universe of the GameOfLife_ is an infinite, two-dimensional grid of square cells, each of which is in one of two possible states, alive or dead, (or populated and unpopulated). Every cell interacts with its eight neighbours, which are the cells that are horizontally, vertically, or diagonally adjacent. At each step in time, the following transitions occur:
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Any live cell with fewer than two live neighbours dies, as if by underpopulation.
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Any live cell with two or three live neighbours lives on to the next generation.
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Any live cell with more than three live neighbours dies, as if by overpopulation.
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Any dead cell with exactly three live neighbours becomes a live cell, as if by reproduction.
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